130722 ALM19 Proceedings
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!"#$%&"'(( )*%+,#&(-*&$-.$%(-*( /0.,$1$(2*%$(-./#(-.$( !32(*4(-.$(5/%-! !"#$%&%'()#*#+,#-)'(./#0,#12"&./#3)#.4% 567899:;<=>(7?(@A9(BC@A(,<@96<D@;7<DE(07<?969<89(7?(( /:FE@>(G9D6<;<=(2D@A9HD@;8>(I(/(%9>9D68A(476FH(J/G2KBCL !"#$%&'()*+,-*.,&%&'( MN(I(MC(OF<9P(MQBM *6=D<;>9:(RS(@A9(#D@;7<DE(09<@69(7?(G;@96D8S(T(#FH96D8S(?76(/:FE@>P( 3<;U96>;@S(7?()D;VD@7P(#9W(X9DED<: .7>@9:(RS(/F8VED<:(3<;U96>;@S(7?(-98A<7E7=S(J/3-LP(#9W(X9DED<: $:;@76>'(/<9>@;<9(.98@76K2D>7<(D<:(Y;D<D(07R9< Published by The National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, in association with Adults Learning Mathematics (ALM) - A Research Forum ALM Chief Editor: Anestine Hector-Mason Editors: Anestine Hector-Mason and Diana Coben ALM19 Programme Team: Niki McCartney, Diana Coben and Sally Davies ALM19 Organiser: Janet Hogan Technical Editor: Sarah Cowley Copyright © 2013 by The National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, in association with Adults Learning Mathematics - A Research Forum National Centre of Literacy & Numeracy for Adults Faculty of Education The University of Waikato Private Bag 3105 Hamilton 3240 New Zealand Permission to make copies of individual articles, in paper or electronic form, including posting on personal and class web pages, for educational and scientific use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear the following copyright notice: Copyright The National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, in association with Adults Learning Mathematics - A Research Forum ISBN 978-0-473-25192-5 Format – Paperback book ISBN 978-0-473-25193-2 Format – PDF ii Table of Contents About ALM vi Preface ix Keynote Presentations Paul Satherley Numeracy in the Workplace: Findings on occupational numeracy practices from the 2006 Adult Literacy and Life Skills Survey in New Zealand 3 Bill Barton Mathematical Tribes: Our Wars and Intermarriages 17 Paper Presentations Gail E. FitzSimons Doing Mathematics in the Workplace: A Brief Review of Selected Literature 21 John J. Keogh, Theresa Maguire and John O'Donoghue A Workplace Contextualisation of Mathematics: Visible, Distinguishable and Meaningful Mathematics in Complex Contexts 32 Diana Coben and Keith Weeks Behind the Headlines: Authentic Teaching, Learning and Assessment of Competence in Medication Dosage Calculation Problem Solving in and for Nursing 39 Phil Kane Spatial Awareness and Estimation in Recycling and Refuse Collection 56 Kelvin Ralph Mills Some Correspondences and Disjunctions between School Mathematics and the Mathematical Needs of Apprentice Toolmakers A New Zealand Perspective 69 Gill Thomas Connecting the dots for a more numerate New Zealand 84 Robyn Gandell and Bettina Schwenger Connecting the Dots: Is There a Link Between Student Literacy and Numeracy? 88 Glen Bryant Working with the Reading Demands of the Numeracy Classroom: Going Beyond Word Bombs 98 Rachel Bulliff and Jenny Young-Loveridge The Impact of Teaching on the Mathematics Learning of Two Prisoners 105 iii Donald Smith Lucky Colours of Sunshine: Explaining the Mathematics of Chance Gambling 118 Diana Coben, Niki McCartney and Barbara Miller-Reilly Building Capacity in the Adult Numeracy Workforce after IALS: Developments in Professional Development for Adult Numeracy Education in New Zealand and England 130 Linda Galligan Academic Numeracy as a Framework for Course Development 153 Lesley Wilkins Synergising Mathematics Support Within a University Setting 163 Anne Abbott “It’s your money they’re after!”: Using advertising flyers to teach percentages 175 Jenny Young-Loveridge How Might Schools Contribute to the Poor Mathematics Skills of Adult New Zealanders? 180 Katherine Safford-Ramus and Amelia Rotondo A Review and Summary of Research on Adult Mathematics Education in North America (2000-2012) 189 Frank Smedley An Emerging Framework for Ethnography of Adult Mathematical and Numeracy Practices 202 Damon Whitten Divergent Learner Pathways: Exploring the Mathematical Beliefs of Young Adult Learners 209 Christopher M. Klinger Selective Ignorance and the Adult Numeracy Conundrum 220 Dave Tout Literacy, Language and Mathematics: Working Together in Achieving Competence in Numeracy 233 Linda Galligan Poster Presentation: Mathematics and Statistics Teaching and Learning Community of Practice 234 Keith McNaught Helping University Students Appreciate "the Inherent, Innate and Pervasive" Nature of Mathematics 235 Theresa Maguire Developing Maths Eyes - A Successful Model for Building Confidence in Mathematics in a Community 236 iv Adrienne Dearnley Mathematics for Health Students 237 Anestine Hector-Mason Numeracy and Informal Banking: What Does the Sou-Sou Tell Us About Numerate Behaviours? 238 Dave Tout Some Reflections on Adults' Numeracy Competence from International and National Numeracy and Mathematical Literacy Assessments 239 v About ALM Adults Learning Mathematics – A Research Forum (ALM) is an international research forum bringing together researchers and practitioners in adult mathematics/numeracy teaching and learning in order to promote the learning of mathematics by adults. ALM was formally established in July 1994 and is a Registered Charity (1079462) and a Company Limited by Guarantee (Company Number 3901346). The company address is 26, Tennyson Road, London NW6 7SA, UK. ALM’s objectives are the advancement of education by the establishment of an international research forum in the lifelong learning of mathematics and numeracy by adults by: • Encouraging research into adults learning mathematics at all levels and disseminating the results of this research for the public benefit; • Promoting and sharing knowledge, awareness and understanding of adults learning mathematics at all levels, to encourage the development of the teaching of mathematics to adults at all levels for the public benefit. ALM’s vision is to be a catalyst for the development and dissemination of theory, research, and best practices in the learning of mathematics by adults, providing identity for the profession and internationally promoting and sharing knowledge of adults’ mathematics learning for the public benefit. On the ALM website http://www.alm-online.net/ you will find pages of interest for teachers, experienced researchers, new researchers and PhD students and policy makers: - teachers - experienced researchers The work of members include many ideas for The organisation brings together international the development of practice and is academics, allowing the sharing of ideas, documented in the Proceedings of ALM publication and dissemination via the conferences, the Adults Learning conferences and the academic refereed Adults Mathematics - International Journal and in Learning Mathematics - International other publications. We have started work on Journal. producing a searchable database. Here you will also find ideas, descriptions of This page is also an opportunity for members projects, requests for help from researchers. to share resources and teaching ideas. vi - new researchers and PhD students - policy makers The conferences and other events allow a The work of the individuals in the friendly yet challenging environment to test organisation has a history of influencing out ideas and develop work. policy in various countries including Australia, the UK and Denmark. This page will also enable exchange of ideas and work between times. ALM holds an international conference each year at which members and delegates share their work, meet each other and network. ALM Conference Proceedings and the online Adults Learning Mathematics - International Journal (ALMIJ) are available from the website. ALM members live and work all over the world, the ALM members page will put you in touch with our regional activities and representatives. ALM welcomes new members; please contact the Membership Secretary. Contact details are on the ALM website. ALM is managed by a Board of Trustees elected by the members at the Annual General Meeting (AGM) which is held at the annual international conference. vii 2012-2013 ALM Board of Trustees Chair Dr Chris Klinger University of South Australia Adelaide, Australia Secretary Graham Griffiths Institute of Education London, UK Treasurer Beth Kelly Learning Unlimited London, UK Membership Secretary Joanne Kantner Kishwaukee College Illinois, USA Trustees Ruth Moulton Freelance London, UK Catherine Byrne Education Unit, Wheatfield Prison Dublin, Ireland Honorary Trustees Professor Diana Coben National Centre of Literacy & Hamilton, NZ Numeracy for Adults Dr Gail FitzSimons Melbourne University Melbourne, Australia Dr Marj Horne Australian Catholic University Melbourne, Australia David Kaye LLU + London South Bank Univeristy London, UK Lisbeth Lindberg Göteborg University Göteborg, Sweden Professor Juergen Maasz University of Linz Linz, Austria Professor John O'Donoghue University of Limerick Limerick, Ireland Dr Katherine Safford-Ramus Saint Peter’s College Jersey City, NJ, USA Dr Alison Tomlin King’s College London London, UK Dr Mieke van Groenestijn Utrecht University of Professional Utrecht, Netherlands Education viii Preface The 19th international conference of Adults Learning Mathematics – A Research Forum (ALM19) was held in Auckland, New Zealand - a first for New Zealand and only the second time an ALM conference has been held in the Southern Hemisphere. ALM19 was organized by the National Centre of Literacy and Numeracy